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Finding the Fourth Proportional to 335,105.84, 502,695.40 and 145,435.82

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Solution

The fourth proportional to 335,105.84, 502,695.40 and 145,435.82 is: 218,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,105.84 : 502,695.40 = 145,435.82 : x
  2. Step 2: Convert to fraction form
    335,105.84/502,695.40 = 145,435.82/x
  3. Step 3: Cross multiply
    335,105.84x = 502,695.40 × 145,435.82
  4. Step 4: Simplify right side
    335,105.84x = 73,109,917,709.23
  5. Step 5: Solve for x
    x = 73,109,917,709.23/335,105.84
  6. Step 6: Final answer
    x = 218,169.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.